Prime p₀= 2477777959213166837 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 52 24 32 4 30 26 22 26 30 4 32 24 52 14 (?)
a_n: 0 14 66 90 122 126 156 182 204 230 260 264 296 320 372 386
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 386
Found by: JayPi
db: batch=82, k=16, 14 52 24 32 4 30 26 22

TPT(14)	2477776555740713387	0 2 12 14 84 86 114 116 210 212 222 224 264 266	-1403472453450
SPT(16)	2477776754764169249	0 2 14 48 54 68 110 114 248 252 294 308 314 348 360 362	-1204448997588
SPT(16)	2477776903798883417	0 24 80 132 152 194 266 272 294 300 372 414 434 486 542 566	-1055414283420
TPT(14)	2477777154750219731	0 2 48 50 138 140 210 212 276 278 318 320 360 362	-804462947106
STPT(10)	2477777263088068727	0 2 30 32 60 62 90 92 120 122	-696125098110
SPT(16)	2477777561271191381	0 2 26 42 60 86 140 158 180 198 252 278 296 312 336 338	-397941975456
SPT(16)	2477778050264616707	0 12 14 26 54 114 116 122 144 150 152 212 240 252 254 266	91051449870
SPT(16)	2477778668533811833	0 10 28 46 66 126 154 168 196 210 238 298 318 336 354 364	709320644996
SPT(16)	2477778710199883411	0 10 12 48 52 96 118 126 142 150 172 216 220 256 258 268	750986716574
SPT(16)	2477779336517173751	0 6 30 72 86 230 242 252 296 306 318 462 476 518 542 548	1377304006914
SPT(16)	2477779352683925951	0 6 90 122 140 156 170 182 330 342 356 372 390 422 506 512	1393470759114